1997/04/30 by Michael B. Green, Pierre Vanhove · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)00785-5
published as Phys.Lett.B408:122-134,1997 · harvmac (b) 17 pages. v4: Some formulae corrected. Dimensions corrected for eleven-dimensional expressions
arxiv created 1999/12/15 · arxiv updated 2010/11/19
The R4 terms in the effective action for M-theory compactified on a two-torus are motivated by combining one-loop results in type II superstring theories with the Sl(2,Z) duality symmetry. The conjectured expression reproduces precisely the tree-level and one-loop R4 terms in the effective action of the type II string theories compactified on a circle, together with the expected infinite sum of instanton corrections. This conjecture implies that the R4 terms in ten-dimensional string type II theories receive no perturbative corrections beyond one loop and there are also no non-perturbative corrections in the ten-dimensional IIA theory. Furthermore, the eleven-dimensional M-theory limit exists, in which there is an R4 term that originates entirely from the one-loop contribution in the type IIA theory and is related by supersymmetry to the eleven-form C(3)R4. The generalization to compactification on T3 as well as implications for non-renormalization theorems in D-string and D-particle interactions are briefly discussed.